Quantum Noise Degradation and Error-Correcting Code Optimization in Quantum Computing

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum computing holds immense promise for revolutionizing various fields, but its inherent susceptibility to noise poses a significant challenge to achieving reliable computations. This work investigates the degradation of quantum information due to noise and proposes an optimized approach to error-correcting codes specifically tailored for quantum systems. We establish a precise noise degradation model, incorporating various noise types and their statistical properties, represented as (σi). This model allows for a more realistic simulation of quantum noise compared to traditional approaches. Subsequently, we employ an optimization algorithm, based on the principle of minimizing bit-flip error rates, to design error-correcting codes. The core of our design strategy leverages information theory concepts, particularly channel capacity and mutual information, represented as (Cch, Imn), to determine the optimal code parameters. The optimization process aims to find the most efficient code that can effectively protect quantum information from noise, ultimately enhancing the reliability of quantum computations. The final optimized code is characterized by its encoding rate (R), decoding rate (D), and the minimum distance (dmin) of the code, represented as (R, D, dmin). The results demonstrate the effectiveness of our approach in mitigating noise degradation and improving the performance of quantum error correction.

DOI: 10.5281/zenodo.22635592

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